声子辅助动力学作用下场驱动固-固界面运动的纳米结构和速度
Nanostructure and velocity of field-driven solid-on-solid interfaces moving under a phonon-assisted dynamic
摘要：
采用解析非线性响应近似和动力学蒙特卡罗模拟，研究了Ising格子-气体模型中（1+1）维固-固界面的纳米尺度结构和稳态传播速度.在这里，我们考虑的情况下，系统耦合到一个二维的声子浴。在所得到的动态中，保存系统能量的跃迁被禁止，并且所施加的力和相互作用能的效果不分解（所谓的硬动态）。在完全符合以前的一般理论结果，我们发现，当地的界面宽度的变化显着与所施加的力。然而，与其他硬动力学相比，这种变化是非单调的驱动力。然而，理论和模拟之间的显着差异被发现附近的两个特殊值的驱动力，其中某些过渡允许的固体对固体模型成为禁止的声子辅助动态。我们的结果代表了一个重要的一步，为动力学蒙特卡罗模拟提供了坚实的物理基础。
英文摘要：
The nanoscopic structure and the stationary propagation velocity of (1+1)-dimensional solid-on-solid interfaces in an Ising lattice-gas model, which are driven far from equilibrium by an applied force, such as a magnetic field or a difference in (electro)chemical potential, are studied by an analytic nonlinear-response approximation together with kinetic Monte Carlo simulations. Here we consider the case that the system is coupled to a two-dimensional phonon bath. In the resulting dynamic, transitions that conserve the system energy are forbidden, and the effects of the applied force and the interaction energies do not factorize (a so-called hard dynamic). In full agreement with previous general theoretical results we find that the local interface width changes dramatically with the applied force. However, in contrast with other hard dynamics, this change is nonmonotonic in the driving force. However, significant differences between theory and simulation are found near two special values of the driving force, where certain transitions allowed by the solid-on-solid model become forbidden by the phonon-assisted dynamic. Our results represent a significant step toward providing a solid physical foundation for kinetic Monte Carlo simulations.
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